Elliptic problem with irregular data ( weak and entropy solutions)
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Date
2023-06-10
Journal Title
Journal ISSN
Volume Title
Publisher
University of M'sila
Abstract
In this work, we study the existence and regularity of a weak and entropy solutions of
elliptic problem (P) defined by
(P) I Au u == 0f on on ∂Ω; Ω,
the operator Au = −div(| ∇u |p−2 ∇u), 1 < p < ∞ is a pseudo-monotone operator,
f ∈ M(Ω) or f ∈ L1(Ω). The method of solving our problem consist of obtaining local
estimates for suitable approximate problems and then passing to the limit.
Description
Keywords
Sobolev spaces, pseudo-monotone, operator nonlinear, elliptic equation, weak solution, entropy solution.